nLab Szpiro's conjecture

A statement about elliptic curves.

Relation to other statements

In its general form, equivalent to the abc conjecture.

If Mochizuki's corollary 3.12 is true, then Szpiro’s conjecture is also true.


The relation to the abc conjecture is discussed in

  • Matt Baker (notes taken by William Stein), Elliptic curves, the ABC conjecture, and points of small canonical height (pdf)

The relation to Mochizuki's corollary 3.12 is discussed in

Last revised on August 1, 2023 at 21:09:53. See the history of this page for a list of all contributions to it.